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Finding the Fourth Proportional to 12,206.80, 16,842.90 and 7,171.84

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Solution

The fourth proportional to 12,206.80, 16,842.90 and 7,171.84 is: 9,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.80 : 16,842.90 = 7,171.84 : x
  2. Step 2: Convert to fraction form
    12,206.80/16,842.90 = 7,171.84/x
  3. Step 3: Cross multiply
    12,206.80x = 16,842.90 × 7,171.84
  4. Step 4: Simplify right side
    12,206.80x = 120,794,583.94
  5. Step 5: Solve for x
    x = 120,794,583.94/12,206.80
  6. Step 6: Final answer
    x = 9,895.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.